A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for pi.(1 point)

Question

Responses

1,256 cubic centimeters
1,256 cubic centimeters

2,009.6 cubic centimeters
2,009.6 cubic centimeters

5,024 cubic centimeters
5,024 cubic centimeters

4,019.2 cubic centimeters

Answer 1

To find the volume of a jar shaped like a cylinder (which is the typical shape of a peanut butter jar), we can use the formula for the volume of a cylinder:

\[ V = \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius of the base, and \( h \) is the height.

Given:

• Height (h) = 16 cm
• Width (diameter) = 10 cm, therefore the radius (r) = diameter/2 = 10 cm / 2 = 5 cm

Now, substituting the values into the formula and using \( \pi \) as 3.14:

\[ V = 3.14 \times (5)^2 \times 16 \]

Calculating the radius squared:

\[ (5)^2 = 25 \]

Now substitute that back into the volume formula:

\[ V = 3.14 \times 25 \times 16 \]

Calculating \( 25 \times 16 \):

\[ 25 \times 16 = 400 \]

Now multiply by \( 3.14 \):

\[ V = 3.14 \times 400 = 1,256 \]

Thus, the volume of the peanut butter jar is:

1,256 cubic centimeters.